RISK‐MINIMIZATION FOR LIFE INSURANCE LIABILITIES WITH DEPENDENT MORTALITY RISK. (19th June 2015)

• Record Type: Journal Article
• Authors: Biagini, Francesca; Botero, Camila; Schreiber, Irene
• Is Part Of: Mathematical finance. Volume 27:Number 2(2017:Apr.)
• Page Start: 505
• Page End: 533
• Publication Date: 2015-06-19
• Subjects: life insurance liabilities -- unit‐linked life insurance -- stochastic mortality -- random field -- dependent mortality risk -- affine mortality structure -- risk‐minimization -- martingale representation; Business mathematics -- Periodicals; 332
• DOI: 10.1111/mafi.12095
• Languages: English
• ISSNs: 0960-1627

Abstract

Abstract : In this paper, we study the pricing and hedging of typical life insurance liabilities for an insurance portfolio with dependent mortality risk by means of the well‐known risk‐minimization approach. As the insurance portfolio consists of individuals of different age cohorts in order to capture the cross‐generational dependency structure of the portfolio, we introduce affine models for the mortality intensities based on Gaussian random fields that deliver analytically tractable results. We also provide specific examples consistent with historical mortality data and correlation structures. Main novelties of this work are the explicit computations of risk‐minimizing strategies for life insurance liabilities written on an insurance portfolio composed of primary financial assets (a risky asset and a money market account) and a family of longevity bonds, and the simultaneous consideration of different age cohorts.